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Finding the Fourth Proportional to 659.34, 989.10 and 274.50

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Solution

The fourth proportional to 659.34, 989.10 and 274.50 is: 411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.34 : 989.10 = 274.50 : x
  2. Step 2: Convert to fraction form
    659.34/989.10 = 274.50/x
  3. Step 3: Cross multiply
    659.34x = 989.10 × 274.50
  4. Step 4: Simplify right side
    659.34x = 271,507.95
  5. Step 5: Solve for x
    x = 271,507.95/659.34
  6. Step 6: Final answer
    x = 411.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.